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Multiobjective Nonlinear Symmetric Duality Involving Generalized Pseudoconvexity

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DOI: 10.4236/am.2011.210172    4,709 Downloads   7,762 Views   Citations

ABSTRACT

The purpose of this paper is to introduce second order (K, F)-pseudoconvex and second order strongly (K, F)- pseudoconvex functions which are a generalization of cone-pseudoconvex and strongly cone-pseudoconvex functions. A pair of second order symmetric dual multiobjective nonlinear programs is formulated by using the considered functions. Furthermore, the weak, strong and converse duality theorems for this pair are established. Finally, a self duality theorem is given.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

M. Kassem, "Multiobjective Nonlinear Symmetric Duality Involving Generalized Pseudoconvexity," Applied Mathematics, Vol. 2 No. 10, 2011, pp. 1236-1242. doi: 10.4236/am.2011.210172.

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